xen15-gilson-generalized-pythagorean-13-8-7

Generalized Pythagorean Scale, 13/8 stacked 7=5+2 times

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	7
Period	1200.0 ¢
Just	13-limit
Source	Xenharmonikon 15
Reference	Bruce R. Gilson, A Numerical Theory of Scale Invention, Xenharmonikon 15 (1993), p.118
Author	Bruce R. Gilson
Article	47 scales

Tone	Tone (¢)	Step	Step (¢)
2197/2048	122	2197/2048	122
4826809/4194304	243	2197/2048	122
169/128	481	32768/28561	238
371293/262144	603	2197/2048	122
13/8	841	32768/28561	238
28561/16384	962	2197/2048	122
2/1	1200	32768/28561	238

Similar scales

File	Notes	Rotation	Max diff (¢)
xen09-chalmers-tritriadic-8-14-13	7	2	6.7
xen12-chalmers-tritriadic-dm-7-13-1	7	3	6.7
xen09-chalmers-tritriadic-13-14-16	7	4	6.7
xen15-chalmers-triadic-reversed-diamond-56-45	7	6	21.3
xen15-chalmers-triadic-reversed-diamond-57-46	7	6	22.3
xen18-erlich-beatles-07	7	6	22.7
xen15-chalmers-triadic-reversed-diamond-26-21	7	6	23.7

Parent scales

File	Notes	Max diff (¢)
xen15-gilson-generalized-pythagorean-13-8-10	10	0.0
edo-10	10	3.2
freefokkerblock	10	6.7
fokkerblock	10	13.4
edo-20	20	3.2
xen18-erlich-miracle-10	10	14.4
xen18-erlich-miracle-11	11	14.4
vines_ovovo10eb5w6w7_0_D	10	15.9
2.3.5-7.11-9.diamond	10	17.0
xen18-erlich-lemba-10	10	19.3

Child scales

File	Notes	Max diff (¢)
Ethiopia_Anchihoye	5	13.9

Raw file

! xen15-gilson-generalized-pythagorean-13-8-7.scl
!
Generalized Pythagorean Scale, 13/8 stacked 7=5+2 times
 7
!
 2197/2048       !  101 moc
 4826809/4194304 !  203 moc
 169/128         !  401 moc
 371293/262144   !  502 moc
 13/8            !  700 moc
 28561/16384     !  802 moc
 2/1             ! 1000 moc
!
! Bruce R. Gilson
! A Numerical Theory of Scale Invention
! Xenharmonikon 15 (1993), p.118
!
! [info]
! source = Xenharmonikon
! whole_number = 15